The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  1  1  1  1  1  1  0  X  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X 2X  0 X+3 2X  0 X+3 2X  6 X+3 2X 2X+6  0 X+3 X+6 2X+6  6 2X  0 X+3 X+6  0 2X 2X+6  X  0 2X+6 X+3  3 2X+3  X 2X  3  X 2X+3  0  3 2X 2X+3  3  0 X+3 2X+6 2X  3 2X+6  6 2X 2X+6  0  X  X X+3 2X+3 X+6 2X+6  6 2X X+3 2X  3 X+3  3 2X+6  0  0
 0  0  6  0  0  0  0  3  6  0  6  3  3  0  0  6  0  0  6  3  3  6  6  3  6  6  6  6  6  6  6  0  3  6  3  0  6  3  6  0  6  3  6  0  6  0  0  3  3  0  6  0  3  6  0  6  0  0  6  6  3  0  3  6  0  6  0
 0  0  0  6  0  0  0  0  0  3  0  6  3  6  6  6  6  3  6  3  6  6  0  3  3  0  6  3  6  6  0  3  0  0  0  6  6  6  0  3  6  3  3  6  0  3  0  3  6  0  3  3  6  0  3  3  0  0  6  0  6  3  3  3  0  3  0
 0  0  0  0  3  0  6  3  6  6  0  6  3  0  3  0  3  0  3  3  0  0  3  6  0  0  3  3  3  3  3  3  6  6  3  0  6  0  0  6  0  3  6  3  6  0  3  6  3  0  0  6  6  6  0  0  6  6  0  6  0  6  6  3  3  3  6
 0  0  0  0  0  6  6  0  3  6  0  0  6  6  3  3  6  6  0  3  0  0  3  6  3  6  6  6  6  0  0  3  0  6  3  6  0  6  6  3  0  6  6  3  3  0  0  3  0  3  3  6  3  6  3  6  3  0  3  3  6  3  3  6  6  0  3

generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+34x^120+54x^121+78x^122+142x^123+108x^124+162x^125+308x^126+174x^127+198x^128+442x^129+708x^130+210x^131+3646x^132+2160x^133+180x^134+6742x^135+2172x^136+222x^137+616x^138+186x^139+174x^140+242x^141+144x^142+144x^143+102x^144+84x^145+60x^146+44x^147+24x^148+24x^149+22x^150+18x^151+10x^153+6x^155+14x^156+16x^159+8x^162+2x^165+2x^189

The gray image is a code over GF(3) with n=603, k=9 and d=360.
This code was found by Heurico 1.16 in 2.46 seconds.